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Finding the Fourth Proportional to 23,893.32, 32,973.90 and 13,283.13

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Solution

The fourth proportional to 23,893.32, 32,973.90 and 13,283.13 is: 18,331.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.32 : 32,973.90 = 13,283.13 : x
  2. Step 2: Convert to fraction form
    23,893.32/32,973.90 = 13,283.13/x
  3. Step 3: Cross multiply
    23,893.32x = 32,973.90 × 13,283.13
  4. Step 4: Simplify right side
    23,893.32x = 437,996,435.44
  5. Step 5: Solve for x
    x = 437,996,435.44/23,893.32
  6. Step 6: Final answer
    x = 18,331.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.